The generator matrix

 1  0  1  1  1  4  1  1  4  1  1  8  1  1  6  1  1 14  1  1 10  1  1  6  1  1  2  1  1  1  6  1 12  1  6  1  1  1  0  1  1  1  1  0  0  1  1  1  1  8  1  4  1  1  1  1  1 14  1 14  0 12  1  2  1  1  8  1  8  1  2 12  2  1 12  4  1 10  1 14  1 10  2  1 10  6  1  0  1
 0  1  1  0  3  1 13  8  1  0  7  1  7 14  1  2 13  1 10  5  1 10 11  1  1  8  1 10  3 13  1  4  1  8  1 14 13  3  1  9 12  3  7  1  1  0 14  4  3  1 10  1  3  8  9  3  5  1  2  1  1  1  0  1  6  5  1  6  1  2  4  1  1 10  0  4 10  1 15  1  4  1  6 10  1  1  6  1  0
 0  0  2  0  0  8  0  2 10 10 10  2  6  8 14  0  2  8 10  8 14 14 12  4 12  6  6 12 14  8 12 14  6  0 12 14 10  0 14 14  4  8 12  8  4  2  4  6 10  4  6 12  4  8 12 14 14 14  2  4  2  6  4  8  4  4 10 10  0  0  2  6  4  6  2  2  2  4 14  8 10  8  8 10 14  2 12 12  0
 0  0  0  2  8 10 10  6 14  0 14 12  4 10  6 12 10  4  8  8  8  6 10  6  4 10 12 12 14 14 10  0  6  6  0  2  4 14  0 10  0  4  6 14  4  4  2  6  4  6 12  0 12 12 14  2  8 10 10  4 14 12 14  8  0  2 10 14  6  6 10 14  2  2 14 12  6  6 14  6  0  2  2  0 14 10  6 10  0

generates a code of length 89 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+77x^82+458x^83+839x^84+1254x^85+1456x^86+1550x^87+1800x^88+1888x^89+1965x^90+1560x^91+1176x^92+900x^93+559x^94+400x^95+202x^96+92x^97+49x^98+54x^99+44x^100+22x^101+16x^102+10x^103+1x^104+4x^105+5x^106+1x^110+1x^124

The gray image is a code over GF(2) with n=712, k=14 and d=328.
This code was found by Heurico 1.16 in 4.83 seconds.